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Algebra 2 · Chapter 2 · Lesson 2.7 · Printable PDF

Completing the Square Worksheet with Answer Key

5 problems on completing the square: filling in the missing term, solving equations that way including complex answers, a can-stacking word problem, finding a student's error, and showing a quadratic expression is always positive. 2 pages, with a worked answer key.

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Printable Completing the square worksheet with answer key - Algebra 2 (Page 1 PDF preview)
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Try one first: a free Chapter 1 worksheet (PDF, no sign-in).

The full Algebra 2 courseEvery lesson in teaching order, with over 490 printables.See the course ›

What's on the worksheet

  1. Fill in the blanks so each completed square is true for every value.
  2. Solve each equation by completing the square, with complex answers if needed.
    x^2 - 8x = 20x^2 + 12x + 11 = 0p^2 - 2p - 11 = 0x^2 + 7x + 1 = 0t^2 + 3t = \dfrac{7}{4}
  3. Word problem: cans stacked in a triangle against a wall.
  4. Find the mistake in Diego's completing the square on x^2 + 10x = 24.
  5. Show an expression is always positive and test whether it can equal given values.

Teach it first

The free lesson teaches it with worked examples and practice problems.

Completing the square: the lesson ›

More Chapter 2 worksheets: Quadratics and complex numbers